Divisibility Rules for 2,3,4,5,6,7,8,9,

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Transcript of Divisibility Rules for 2,3,4,5,6,7,8,9,

Divisibility Rules Divisibility Rules for 2,3,4,5,6,7,8,9,By: Emma HillRule for 2If the number ends in 2,4,6,8,or 0 it can be divided by 2.

Rule for 4.If the last two digits are a multiple of four then the number can be divided by four.Rule for 3.If the sum of the digits is divisible by 3,the number is also.1. 174,974,764, The number ends with a even number therefore 174,974,764 can be divided equally by 2.2. 549,268, The number ends with a 8,so 549,268 can be equally divided by 2.3. 7,012, 2 can be divided by 2 therefore 7,012 can be equally divided by 2.4. 230,098,234 The number ends with 4 and 4 can be equally divided by 2.5. 3,980, The number ends with 0,and 0 is a multiple of 2 therefore3,980 can be equally divided by 2.

1. 1,348, 48 is a multiple of 4 therefore 1,348 is divisible by 4.2. 27,616, 16 is a multiple of 4 therefore 27,616 is divisible by 4.3. 576,756,712, 12 is a multiple of 4 therefore 576,756,712 is divisible by 4.4. 4,765,820, 20 is a multiple of 4 therefore 4,765,820 is divisible by 4.5. 54,708 8 is a multiple of 4 therefore 54,708 is divisible by 4.

1. 13,210 (3+2+1+0=6) Therefore 3,210 is divisible by 3.2. 846,555,036 (8+4+6+5+5+5+0+3+6=42) Therefore 846,555,102 is divisible by 3.3. 2,789,556,102 (2+7+8+9+5+5+6+1+0+2=45) Therefore 2,789,556,102 is divisible by 3.4. 6,903, (6+9+0+3=18) Therefore 6,903 is divisible by 3.5.570,999, (5+7+0+9+9+9=39) Therefore 570,999 is divisible by 3.Rule for 5If the last digit ends with 5 or 0.1. 1,960, 60 can be divided by 5 so, 1,960 is divisible by 5.2. 38,095, 5 can be divided by 5 so, 38,095 is divisible by 5.3. 666,666,620, 0 can be divided by 5 so, 666,666,620 is divisible by 5.4. 105, 5 can be divided by 5 so, 105 is divisible by 5.5. 4,980 0 can be divided by 5 so, 4,980 is divisible by 5.

Rule for 6.A number is divisible by six if it can follow the divisibility rule for 2 and 3.1. 5,106 6 is a multiple of 2 and 5+1+0+6=12 and 12 is a multiple of 3 so 5,106 can be equally divisible by 6. 2. 636 6 is a multiple of 2 and6+3+6=15 and 15 is a multiple of 3 so 636 can be equally divided by 6.3. 271,058 8 is a multiple of 2 and 2+7+1+0+5+8=24 and 24 is a multiple of 3 therefore 271,058 can be divided by 6.4. 21,012 2 is a multiple of 2 and 2+1+1+2=6 and 6 is a multiple of 3 so 21,012 is divisible by 6.5. 78,032,646 6 is a multiple of 2 and 7+8+0+3+2+6+4+6=36 and 36 is a multiple of 3 so 78,032,646 can be divided by 6.

Rule for 7.

If the last digit in the number is doubled and then subtracted from the rest of the digits.1. 672 (2+2=4) 67-4=63 so 672 can be divided equally by 7.2.357 (7+7=14) 35-14=21 therefore 357 can be divided by 7.3.112 (2+2=4) 11-4=7 so 112 can be divided by 7.4. 7,126 (6+6=12) 712-12=700 so 7,126 can be divided by 7.5.511 (1+1=2) 51-2=49 so 511 can be divided by 7.

Rule For 8.If the last 3 digits are divisible by 8, so is the entire number.1. 6008 8 is divisible by 8 so 6008 is divisible by 8. 2. 587,320 320 is divisible by 8 therefore 587,320 is divisible by 8.3.900,096 96 is divisible by 8 therefore 900,096 can be divided equally by 7.4. 1,024 24 is divisible by 8 so 1,024 is divisible by 8. 5. 90,088 88 is divisible by 8 therefore 90,088 is divisible by 8.Rule for 9.If the sum of the digits is evenly divided by 9.1. 4,598 (4+9+5+8=27) and 27 divided by 3=9 therefore 4,598 is divisible by 9.2. 9,999 (9+9+9+9=36) 36 divided by 4 is 9 therefore 9,999 is divisible by 9.3. 10,006,470 (1+6+4+7=18) 18 divided by 2=9 Therefore 10,006,470 is divisible by 9.4. 11,151 (1+1+1+5+1=9) 9 divided by 1=9 Therefore 11,151 is divisible by 9.5. 999,999,999 (9+9+9+9+9+9+9+9+9=81) and 81 divided by 9=9 Therefore 999,999,999 is divisible by 9.The End Definitions Quotient: The number obtained by dividing one quantity by another. In 45 ÷ 3 = 15, 15 is the quotient.Divided:The amount you want to divide by.Divisor: A number that is a factor of another number.Remainder: The left over part in a multiplication,divsion,subtracting or adding problem.